TSTP Solution File: GEO251+3 by E---3.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : E---3.1
% Problem  : GEO251+3 : TPTP v8.1.2. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_E %s %d THM

% Computer : n006.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8042.1875MB
% OS       : Linux 3.10.0-693.el7.x86_64
% CPULimit : 2400s
% WCLimit  : 300s
% DateTime : Tue Oct 10 17:32:23 EDT 2023

% Result   : Theorem 0.20s 0.51s
% Output   : CNFRefutation 0.20s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    4
%            Number of leaves      :    3
% Syntax   : Number of formulae    :   12 (   4 unt;   0 def)
%            Number of atoms       :   22 (   0 equ)
%            Maximal formula atoms :    4 (   1 avg)
%            Number of connectives :   20 (  10   ~;   4   |;   3   &)
%                                         (   1 <=>;   2  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    6 (   4 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    3 (   2 usr;   1 prp; 0-2 aty)
%            Number of functors    :    5 (   5 usr;   3 con; 0-2 aty)
%            Number of variables   :   20 (   4 sgn;  14   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(con,conjecture,
    ! [X3,X6,X4] :
      ( right_apart_point(X6,parallel_through_point(X4,X3))
     => left_apart_point(X3,parallel_through_point(X4,X6)) ),
    file('/export/starexec/sandbox2/tmp/tmp.JRYatHOC6z/E---3.1_3347.p',con) ).

fof(a2_defns,axiom,
    ! [X1,X2] :
      ( right_apart_point(X1,X2)
    <=> left_apart_point(X1,reverse_line(X2)) ),
    file('/export/starexec/sandbox2/tmp/tmp.JRYatHOC6z/E---3.1_3347.p',a2_defns) ).

fof(ax10_basics,axiom,
    ! [X3,X4] :
      ~ ( left_apart_point(X3,X4)
        | left_apart_point(X3,reverse_line(X4)) ),
    file('/export/starexec/sandbox2/tmp/tmp.JRYatHOC6z/E---3.1_3347.p',ax10_basics) ).

fof(c_0_3,negated_conjecture,
    ~ ! [X3,X6,X4] :
        ( right_apart_point(X6,parallel_through_point(X4,X3))
       => left_apart_point(X3,parallel_through_point(X4,X6)) ),
    inference(assume_negation,[status(cth)],[con]) ).

fof(c_0_4,plain,
    ! [X23,X24] :
      ( ( ~ right_apart_point(X23,X24)
        | left_apart_point(X23,reverse_line(X24)) )
      & ( ~ left_apart_point(X23,reverse_line(X24))
        | right_apart_point(X23,X24) ) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[a2_defns])]) ).

fof(c_0_5,plain,
    ! [X12,X13] :
      ( ~ left_apart_point(X12,X13)
      & ~ left_apart_point(X12,reverse_line(X13)) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax10_basics])]) ).

fof(c_0_6,negated_conjecture,
    ( right_apart_point(esk2_0,parallel_through_point(esk3_0,esk1_0))
    & ~ left_apart_point(esk1_0,parallel_through_point(esk3_0,esk2_0)) ),
    inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_3])])]) ).

cnf(c_0_7,plain,
    ( left_apart_point(X1,reverse_line(X2))
    | ~ right_apart_point(X1,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_4]) ).

cnf(c_0_8,plain,
    ~ left_apart_point(X1,X2),
    inference(split_conjunct,[status(thm)],[c_0_5]) ).

cnf(c_0_9,negated_conjecture,
    right_apart_point(esk2_0,parallel_through_point(esk3_0,esk1_0)),
    inference(split_conjunct,[status(thm)],[c_0_6]) ).

cnf(c_0_10,plain,
    ~ right_apart_point(X1,X2),
    inference(sr,[status(thm)],[c_0_7,c_0_8]) ).

cnf(c_0_11,negated_conjecture,
    $false,
    inference(sr,[status(thm)],[c_0_9,c_0_10]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.14  % Problem    : GEO251+3 : TPTP v8.1.2. Released v4.0.0.
% 0.06/0.15  % Command    : run_E %s %d THM
% 0.13/0.36  % Computer : n006.cluster.edu
% 0.13/0.36  % Model    : x86_64 x86_64
% 0.13/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.36  % Memory   : 8042.1875MB
% 0.13/0.36  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.36  % CPULimit   : 2400
% 0.13/0.36  % WCLimit    : 300
% 0.13/0.36  % DateTime   : Tue Oct  3 06:48:25 EDT 2023
% 0.13/0.37  % CPUTime    : 
% 0.20/0.50  Running first-order theorem proving
% 0.20/0.50  Running: /export/starexec/sandbox2/solver/bin/eprover --delete-bad-limit=2000000000 --definitional-cnf=24 -s --print-statistics -R --print-version --proof-object --auto-schedule=8 --cpu-limit=300 /export/starexec/sandbox2/tmp/tmp.JRYatHOC6z/E---3.1_3347.p
% 0.20/0.51  # Version: 3.1pre001
% 0.20/0.51  # Preprocessing class: FSMSSMSSSSSNFFN.
% 0.20/0.51  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.20/0.51  # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.20/0.51  # Starting new_bool_3 with 300s (1) cores
% 0.20/0.51  # Starting new_bool_1 with 300s (1) cores
% 0.20/0.51  # Starting sh5l with 300s (1) cores
% 0.20/0.51  # new_bool_3 with pid 3433 completed with status 0
% 0.20/0.51  # Result found by new_bool_3
% 0.20/0.51  # Preprocessing class: FSMSSMSSSSSNFFN.
% 0.20/0.51  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.20/0.51  # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.20/0.51  # Starting new_bool_3 with 300s (1) cores
% 0.20/0.51  # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.20/0.51  # Search class: FGHNS-FFMF21-SFFFFFNN
% 0.20/0.51  # Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 0.20/0.51  # Starting SAT001_MinMin_p005000_rr_RG with 181s (1) cores
% 0.20/0.51  # SAT001_MinMin_p005000_rr_RG with pid 3436 completed with status 0
% 0.20/0.51  # Result found by SAT001_MinMin_p005000_rr_RG
% 0.20/0.51  # Preprocessing class: FSMSSMSSSSSNFFN.
% 0.20/0.51  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.20/0.51  # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.20/0.51  # Starting new_bool_3 with 300s (1) cores
% 0.20/0.51  # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.20/0.51  # Search class: FGHNS-FFMF21-SFFFFFNN
% 0.20/0.51  # Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 0.20/0.51  # Starting SAT001_MinMin_p005000_rr_RG with 181s (1) cores
% 0.20/0.51  # Preprocessing time       : 0.001 s
% 0.20/0.51  # Presaturation interreduction done
% 0.20/0.51  
% 0.20/0.51  # Proof found!
% 0.20/0.51  # SZS status Theorem
% 0.20/0.51  # SZS output start CNFRefutation
% See solution above
% 0.20/0.51  # Parsed axioms                        : 37
% 0.20/0.51  # Removed by relevancy pruning/SinE    : 15
% 0.20/0.51  # Initial clauses                      : 33
% 0.20/0.51  # Removed in clause preprocessing      : 0
% 0.20/0.51  # Initial clauses in saturation        : 33
% 0.20/0.51  # Processed clauses                    : 13
% 0.20/0.51  # ...of these trivial                  : 0
% 0.20/0.51  # ...subsumed                          : 2
% 0.20/0.51  # ...remaining for further processing  : 11
% 0.20/0.51  # Other redundant clauses eliminated   : 0
% 0.20/0.51  # Clauses deleted for lack of memory   : 0
% 0.20/0.51  # Backward-subsumed                    : 1
% 0.20/0.51  # Backward-rewritten                   : 0
% 0.20/0.51  # Generated clauses                    : 1
% 0.20/0.51  # ...of the previous two non-redundant : 0
% 0.20/0.51  # ...aggressively subsumed             : 0
% 0.20/0.51  # Contextual simplify-reflections      : 0
% 0.20/0.51  # Paramodulations                      : 0
% 0.20/0.51  # Factorizations                       : 0
% 0.20/0.51  # NegExts                              : 0
% 0.20/0.51  # Equation resolutions                 : 0
% 0.20/0.51  # Total rewrite steps                  : 0
% 0.20/0.51  # Propositional unsat checks           : 0
% 0.20/0.51  #    Propositional check models        : 0
% 0.20/0.51  #    Propositional check unsatisfiable : 0
% 0.20/0.51  #    Propositional clauses             : 0
% 0.20/0.51  #    Propositional clauses after purity: 0
% 0.20/0.51  #    Propositional unsat core size     : 0
% 0.20/0.51  #    Propositional preprocessing time  : 0.000
% 0.20/0.51  #    Propositional encoding time       : 0.000
% 0.20/0.51  #    Propositional solver time         : 0.000
% 0.20/0.51  #    Success case prop preproc time    : 0.000
% 0.20/0.51  #    Success case prop encoding time   : 0.000
% 0.20/0.52  #    Success case prop solver time     : 0.000
% 0.20/0.52  # Current number of processed clauses  : 9
% 0.20/0.52  #    Positive orientable unit clauses  : 2
% 0.20/0.52  #    Positive unorientable unit clauses: 0
% 0.20/0.52  #    Negative unit clauses             : 4
% 0.20/0.52  #    Non-unit-clauses                  : 3
% 0.20/0.52  # Current number of unprocessed clauses: 20
% 0.20/0.52  # ...number of literals in the above   : 62
% 0.20/0.52  # Current number of archived formulas  : 0
% 0.20/0.52  # Current number of archived clauses   : 2
% 0.20/0.52  # Clause-clause subsumption calls (NU) : 1
% 0.20/0.52  # Rec. Clause-clause subsumption calls : 1
% 0.20/0.52  # Non-unit clause-clause subsumptions  : 0
% 0.20/0.52  # Unit Clause-clause subsumption calls : 1
% 0.20/0.52  # Rewrite failures with RHS unbound    : 0
% 0.20/0.52  # BW rewrite match attempts            : 0
% 0.20/0.52  # BW rewrite match successes           : 0
% 0.20/0.52  # Condensation attempts                : 0
% 0.20/0.52  # Condensation successes               : 0
% 0.20/0.52  # Termbank termtop insertions          : 1853
% 0.20/0.52  
% 0.20/0.52  # -------------------------------------------------
% 0.20/0.52  # User time                : 0.003 s
% 0.20/0.52  # System time              : 0.002 s
% 0.20/0.52  # Total time               : 0.005 s
% 0.20/0.52  # Maximum resident set size: 1864 pages
% 0.20/0.52  
% 0.20/0.52  # -------------------------------------------------
% 0.20/0.52  # User time                : 0.006 s
% 0.20/0.52  # System time              : 0.003 s
% 0.20/0.52  # Total time               : 0.009 s
% 0.20/0.52  # Maximum resident set size: 1724 pages
% 0.20/0.52  % E---3.1 exiting
% 0.20/0.52  % E---3.1 exiting
%------------------------------------------------------------------------------